5. Topic 5(COLON) Complex Numbers

Lesson 5.4: De Moivre's Theorem And The Roots Of Unity — Quiz

Test your understanding of lesson 5.4: de moivre's theorem and the roots of unity with 5 practice questions.

Practice Questions

Question 1

According to De Moivre's theorem, which of the following expressions represents $(\cos \theta + i \sin \theta)^3$?

Question 2

What is the modulus of the complex number $z = 3 + 4i$?

Question 3

Using De Moivre's theorem, what is the expanded form of $\sin(2\theta)$ in terms of $\sin \theta$ and $\cos \theta$?

Question 4

What are the 4th roots of unity?

Question 5

Which angle corresponds to the complex number $z = -1$ in the Argand diagram?